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213107589 = 3280929269
BaseRepresentation
bin11001011001111…
…00001110000101
3112211222222122200
430230330032011
5414023420324
633051345113
75165245632
oct1454741605
9484888580
10213107589
11aa325982
125b452199
13351c6486
1420435189
1513a97ec9
hexcb3c385

213107589 has 12 divisors (see below), whose sum is σ = 308213100. Its totient is φ = 141891264.

The previous prime is 213107569. The next prime is 213107593. The reversal of 213107589 is 985701312.

213107589 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 163405089 + 49702500 = 12783^2 + 7050^2 .

It is not a de Polignac number, because 213107589 - 29 = 213107077 is a prime.

It is a super-3 number, since 3×2131075893 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213107539) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7354 + ... + 21915.

It is an arithmetic number, because the mean of its divisors is an integer number (25684425).

Almost surely, 2213107589 is an apocalyptic number.

It is an amenable number.

213107589 is a deficient number, since it is larger than the sum of its proper divisors (95105511).

213107589 is a wasteful number, since it uses less digits than its factorization.

213107589 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30084 (or 30081 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 213107589 is about 14598.2049923955. The cubic root of 213107589 is about 597.3097977134.

The spelling of 213107589 in words is "two hundred thirteen million, one hundred seven thousand, five hundred eighty-nine".

Divisors: 1 3 9 809 2427 7281 29269 87807 263421 23678621 71035863 213107589